TY - JOUR
T1 - Finite Element Methods for Optimal Control Problems Governed by Linear Quasi-Parabolic Integro-Differential Equations
AU - W. Shen, L. Ge & D. Yang
JO - International Journal of Numerical Analysis and Modeling
VL - 3
SP - 536
EP - 550
PY - 2013
DA - 2013/10
SN - 10
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/581.html
KW - optimal control, linear quasi-parabolic integro-differential equations, optimality conditions, finite element methods, a priori error estimate.
AB - <p style="text-align: justify;">In this paper, the mathematical formulation for a quadratic optimal control problem
governed by a linear quasi-parabolic integro-differential equation is studied, the optimality conditions
are derived, and then the a priori error estimate for its finite element approximation is
given. Furthermore, some numerical tests are performed to verify the theoretical results.</p>